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Finding the Third Proportional to 520.17 and 1,139.70

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Solution

The third proportional to 520.17 and 1,139.70 is: 2,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 1,139.70 = 1,139.70 : x
  2. Step 2: Convert to fraction form
    520.17/1,139.70 = 1,139.70/x
  3. Step 3: Cross multiply
    520.17x = 1,139.70 × 1,139.70
  4. Step 4: Simplify right side
    520.17x = 1,298,905.41
  5. Step 5: Solve for x
    x = 1,298,905.41/520.17
  6. Step 6: Final answer
    x = 2,497.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.